v < va. In the other extreme, when v ˆ 0:4 arcsec, the magnetic ®eld from the magnetar would be negligible, but the inferred ®eld strength can be easily explained as arising from compression of the ambient ®eld by the bow shock. The mean expansion speed of the nebula is 3:5 3 1010d5v4t 2 1 10 cm s 2 1 where t10 is the age of the nebula in units of 10 days. Thus in the limit of v ˆ 0:4 arcsec th...

This is Harvard College’s Math 129, instructed by Mark Kisin. The formal name for this class is “Number Fields” but a more accurate name for the class is “Algebraic Number Theory”. The permanent URL is http://web.evanchen.cc/coursework.html, along with all my other course notes. If you received a Dropbox link to this document, please be aware that the Dropbox link will expire after the end of t...

While stars are often found in binary systems, brown dwarf binaries much rarer. Brown dwarf--brown pairs typically difficult to resolve because they have very small separations. Using dwarfs discovered with data from the Wide-field Infrared Survey Explorer (WISE) via Backyard Worlds: Planet 9 citizen science project, we inspected other, higher resolution, sky surveys for overlooked cold compani...

1- introductionthe presence of synthetic dyes in water and wastewater causes toxicity to aquatic life and bacteria and changes the brightness, color and clarity of the water. common treatment methods for these compounds are not capable of complete mineralization. therefore, new methods are needed to maximize the efficiency. among them, advanced oxygen processes (aops), especially photocatalytic...

Arabidopsis seedling photomorphogenesis involves two antagonistically acting components, COP1 and HY5. COP1 specifically targets HY5 for degradation via the 26S proteasome in the dark through their direct physical interaction. Little is known regarding how light signals perceived by photoreceptors are transduced to regulate COP1. Arabidopsis has two related cryptochromes (cry1 and cry2) mediati...